Exploration of viscosity dependent on temperature and Newtonian heating above steady hydromagnetic convective flow in a percolating environment: Soret, Dufour consequences

PurposeThe purpose of this research is to investigate the behavior of continuous hydromagnetic convective fluid within a porous medium. In this study, all fluid properties are assumed to remain constant, except for viscosity, which varies inversely with temperature. Additionally, the fluid experiences Newtonian heating, and the effects of the Dufour and Soret phenomena are considered. The study also examines how controlling constants affect the velocity, temperature and concentration profiles.Design/methodology/approachThe model equations are transformed to ordinary differential equations adopting similarity transformations. The resulting coupled nonlinear differential equations are then solved numerically using the shooting method combined with the fourth order Runge-Kutta (RK-4) technique. The effects of varying parameters on the flow are presented through graphs and tables.FindingsThe consequences of supervising constants on the flow are encapsulated in charts. The findings are that the Biot number is crucial in determining the temperature distribution within a solid during transient heat transfer; a reduction in the velocity chart is experienced as the size of suction grows; the temperature distribution over the upright heated plate escalates dramatically as Dufour(Du) shot up; and a rise in fluid velocity as the Soret parameter increases. The current results are annotated in sketches for better understanding. Findings are authenticated in contrast with published works. Finally, viscosity dependent on temperature and Newtonian heating are crucial in determining the flow characteristics, heat transfer efficiency, pressure drop, flow stability and overall performance of fluid systems. Understanding and accounting for these variations are essential for the optimal design and operation of engineering applications involving fluids.Originality/valueThe peculiarity of the research is perusal of exploration of viscosity dependent on temperature and Newtonian heating above steady hydromagnetic convective flow in a percolating environment: Soret, Dufour consequences. To the best of authors' understanding, problem like this has not been considered. The findings in this work will give a useful information to scientists and engineers.